Question

give me answer of these questions ​

Answer 1

Answer:

b) Yes they are equal as they both are 90°

a)they are equal as they are alternate interior angles.

Answer 2

AnSwEr

Given :-

∠BEC = ∠CDE = 90°

BD and CE are altitudes of triangle. So, EB = DC

Solution :-

A》Prove that △CBE ≅ △BCE

➨∠BEC = ∠CDE [Given]

➨ BC = BC [Common]

➨BE = CD

Therefore, △CBE ≅ △BCE [ by RHS congruence rule]

B》Is angle DCB = angle EBC

➨∠DCB = ∠EBC [ by CPCT ]

Additionally✏

• An altitude of a triangle is a line segment through a vertex and perpendicular to a line containing the base.

• RHS Congruence Rule ➡In two right-angled triangles, if the length of the hypotenuse and one side of one triangle, is equal to the length of the hypotenuse and corresponding side of the other triangle, then the two triangles are congruent.

• CPCT stands for Corresponding parts of Congruent triangles. CPCT theorem states that if two or more triangles which are congruent to each other are taken then the corresponding angles and the sides of the triangles are also congruent to each other.